Geodesic
Blow-up results for systems of nonlinear Klein-Gordon equations with arbitrary positive initial energy
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The initial boundary value problem for a system of nonlinear Klein-Gordon equations in a bounded domain is considered. We prove the existence of local solutions by using a successive approximation method. Then, we show blow-up results with arbitrary positive initial energy by a concavity method. Also estimates for the lifespan of solutions are given.
Classification : 35L05, 35L15, 35L70
Keywords: blow-up, life span, damping, nonlinear wave equations, Klein-Gordon equation 
@article{EJDE_2012__2012__a52,
     author = {Wu, Shun-Tang},
     title = {Blow-up results for systems of nonlinear {Klein-Gordon} equations with arbitrary positive initial energy},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a52/}
}
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Wu, Shun-Tang. Blow-up results for systems of nonlinear Klein-Gordon equations with arbitrary positive initial energy. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a52/